The projectively Hurewicz property is t-invariant

Abstract

A space X is projectively Hurewicz provided every separable metrizable continuous image of X is Hurewicz. In this paper we prove that the projectively Hurewicz property is t-invariant, i.e., if Cp(X) is homeomorphic to Cp(Y) and X is projectively Hurewicz, then Y is projectively Hurewicz, too.